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Graph Diffusion for Robust Multi-Agent Coordination

ICML 2025 · Multi-agent systems and games › Cooperative multi-agent RL · approach: Cooperative MARL algorithms

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Proposes MCGD, a graph diffusion framework for offline multi-agent RL that combines categorical diffusion on inter-agent coordination edges with neighbor-dependent anisotropic diffusion on agent actions, evaluated on MPE, MAMuJoCo and SMAC.

Problem

Offline MARL struggles with out-of-distribution states and actions; existing diffusion-based methods diffuse each agent's trajectory independently and ignore inter-agent coordination structure, limiting robustness to dynamic changes.

Approach

Build a sparse k-nearest-neighbor coordination graph over agents, diffuse discrete edges via a similarity-derived categorical transition matrix and continuous node actions with neighbor-dependent anisotropic Gaussian noise, and sample actions with a graph denoiser guided by per-agent Q-functions.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use graph diffusion for multi-agent coordination instead of independent trajectory diffusionMCGD · MPE, MAMuJoCo, and SMAC (Expert or Good datasets)episodic return: 5.7%; 6.5%; 4.7%Helped
Use graph diffusion to model coordination under dynamic agent attributes and coordination structuresMCGD · MPE and MAMuJoCo shifted environmentsepisodic return: 14.2%Helped
Add categorical diffusion for changing coordination edges (ablation)MCGD · SMAC 3m, 2s3z, 5m6m, and 8mepisodic returnHelped
Add anisotropic diffusion for neighboring-agent-dependent action noise (ablation)MCGD · SMAC 3m, 2s3z, 5m6m, and 8mepisodic returnHelped
Keep a fixed k-nearest-neighbor coordination graph instead of modeling changing edge structure (ablation)MCGD-CD · SMAC complex scenariosepisodic returnHurt
Perform independent diffusion on multi-agent trajectories instead of anisotropic, coordination-dependent diffusion (ablation)MCGD-AD · SMACepisodic returnHurt
Average neighboring observations rather than concatenate their features (ablation)MCGD · SMAC 3m, 2s3z, 5m6m, and 8maverage reward: 22.1 ± 0.1 vs 21.3 ± 0.3; 20.7 ± 0.1 vs 20.5 ± 0.1; 18.9 ± 0.5 vs 18.4 ± 0.4; 20.1 ± 0.2 vs 19.4 ± 0.4Helped
Average neighboring observations rather than concatenate their features (ablation)MCGD · SMAC 3m, 2s3z, 5m6m, and 8mcomputation time: 174.38 ± 10.45 vs 195.40 ± 8.77; 179.01 ± 9.83 vs 203.18 ± 16.04; 177.52 ± 14.77 vs 207.54 ± 13.80; 184.74 ± 11.37 vs 21Helped

Limitations

Experimental setup

Datasets: MPE offline datasets (Pan et al., 2022) MAMuJoCo offline datasets (Formanek et al., 2023) SMAC offline datasets (Formanek et al., 2023)

Benchmarks: MPE Spread MPE Tag MPE World MAMuJoCo 2halfcheetah MAMuJoCo 2ant MAMuJoCo 4ant SMAC 3m SMAC 2s3z SMAC 5m6m SMAC 8m

Metrics: average episodic return standard deviation over 5 seeds relative improvement

Baselines: MA-ICQ MA-CQL OMAR MA-SfBC DOM2 MADIFF

Builds on: DDPM MADIFF DOM2 categorical discrete diffusion (D3PM/DiGress) Q-loss (Wang et al.)

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